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The atomic properties in the K and L shells are examined in position space within the ground state of Closed-Shell system in the atom and like ions (N-atom, O +1 -ion, F +2 -ion , Ne +3 -ion and Na +4 -ion ) by using Hartree- Fock wave function. The atomic properties which were studied in this work are two- particle density, one-particle radial density distribution function, two- particle radial density distribution function, one-particle expectation value, standard deviation for one particle, inter-particle distribution function, inter-particle expectation value, standard deviation for two particle, the potential energy expectation values, , , the kinetic energy expectation value and the total energy expectation value for k-shell. Finally all the properties are normalized to unity, and the results are obtained numerically by using Mathcad 14 the results obtained, are compared with other published researches and good agreement is found between them.